Dan and shanice are selling flower bulbs for a school fundraiser. customers can buy bags of windflower bulbs and packages of crocus bulbs. dan sold 5 bags of windflower bulbs and 6 packages of crocus bulbs for a total of $151. shanice sold 4 bags of windflower bulbs and 3 packages of crocus bulbs for a total of $92. what is the cost each of one bag of windflower bulbs and one package of crocus bulbs?

The cost of one bag of windflower is and one bag of crocus is

Solution:

Let windflower bulbs be x and crocus bulbs be y.

Sales by Dan is 5 bags of windflower bulbs and 6 packages of crocus bulbs for 151,

i.e.

Sales by Shanice is 4 bags of windflower bulbs and 3 packages of crocus bulbs is 92,

i.e.

Here we are eliminating the value of y so that we can find the value of x,

The least common multiple of the coefficients of y (6 and 3) is 6.

multiplying (2) by 2 on both sides we get,

On equating (1) and (3) we get,

On grouping the terms,

On substituting the value of x in (2) we get,

Hence, the cost of one bag of windflower bulb is 11 and one bag of crocus bulb is 16.  

what is all that apply?